Conjecture REF  has been generalized to other 3-manifolds in several ways. In [1]}, Costantino extended the colored Jones polynomial to links in \(\#_k(S^2 \times S^1)\)  using Turaev's theory of shadows and proved the volume conjecture for an infinite family of hyperbolic links. More recently, Chen and Yang [2]} discovered volume conjecture behavior exhibited by the Witten-Reshetikhin-Turaev and Turaev-Viro invariants of 3-manifolds, two quantum invariants closely related to the colored Jones polynomial. These conjectures have been verified in many cases [3]}, [4]}.
